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Finding the Fourth Proportional to 7,926.96, 11,891.12 and 2,379.92

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Solution

The fourth proportional to 7,926.96, 11,891.12 and 2,379.92 is: 3,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.96 : 11,891.12 = 2,379.92 : x
  2. Step 2: Convert to fraction form
    7,926.96/11,891.12 = 2,379.92/x
  3. Step 3: Cross multiply
    7,926.96x = 11,891.12 × 2,379.92
  4. Step 4: Simplify right side
    7,926.96x = 28,299,914.31
  5. Step 5: Solve for x
    x = 28,299,914.31/7,926.96
  6. Step 6: Final answer
    x = 3,570.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.